Holographic complexity of braneworld in Horndeski gravity

Abstract

This work investigates the influence of a probe string on the complexity of braneworld according to the CA (Complexity equals action) conjecture within the Horndeski gravity. In the current study, it is considered that scalar fields that source Horndeski gravity has a spatial dependence. In addition, our system contains a particle moving on the boundary, which corresponds to the insertion of a fundamental string in the higher dimensional bulk. Such an effect is given by the Nambu-Goto term, which also incorporates the time-dependence and evolution in our system. Both warp factor, scalar field, and superpotential values are derived numerically assuming appropriate initial conditions, and the growth rate of holographic complexity is analyzed within the so-called Wheeler-De Witt (WDW) patch with null-like hypersurfaces present.

arXiv comment18 pages, 16 figures

References in corpus (30)

• Gauge Theory Correlators from Non-Critical String Theory
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Hierarchy Problem and New Dimensions at a Millimeter
• Large N Field Theories, String Theory and Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The World as a Hologram
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Aspects of Holographic Entanglement Entropy
• Linear Confinement and AdS/QCD
• Complexity Equals Action
• Locally Localized Gravity
• Complexity, action, and black holes
• Dimensional Reduction in Quantum Gravity
• Universal Aspects of Gravity Localized on Thick Branes
• Gravitation from Entanglement in Holographic CFTs
• Bent Domain Walls as Braneworlds
• Gravitational action with null boundaries
• Heavy-Quark Potentials and AdS/QCD
• Glueball Spectrum for QCD from AdS Supergravity Duality
• Holographic Complexity Growth Rate in Horndeski Theory
• Complexity of AdS_5 black holes with a rotating string
• AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
• Rotating black hole with a probe string in Horndeski Gravity
• Braneworlds in Horndeski gravity
• Thick brane in reduced Horndeski theory
• Fundamental energy scale of the thick brane in mimetic gravity
• Domain walls in Horndeski gravity
• AdS/BCFT correspondence and Lovelock theory in the presence of canonical scalar field

Cited by in corpus (6)

• AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: holographic paramagnetism/ferromagnetism phase transition
• de Sitter versus anti-de Sitter in Horndeski-like gravity
• Quantum fluctuation on the worldsheet of probe string in BTZ black hole
• Thick branes in Horndeski gravity
• q-Deformed glueballs spectrum in AdS/QCD correspondence
• Propagation of tensor perturbation in Horndeski-like gravity